Use the table to answer the question.

This table records the number of children present in the car for each day of the week.
Day of the Week Number of Children in the Car
Sunday 2
Monday 4
Tuesday 4
Wednesday 3
Thursday 4
Friday 3
Saturday 0
Describe the meaning of the word function in math. Then consider the table. Why does this table show a function?

(2 points)

1 answer

In mathematics, a function is a relationship between two sets, where each input (or element from the first set, called the domain) is associated with exactly one output (or element from the second set, called the range). This means that for every input, there should be one and only one output.

Now, looking at the given table, it can be identified as a function because each day of the week (the input) is associated with a specific number of children present in the car (the output). There are no days of the week that correspond to more than one number of children; each day has a unique count. Therefore, this table meets the criteria for a function, as each element in the domain (the days of the week) maps to one and only one element in the range (the number of children in the car).

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